"I Love Toy Trains" airs Thursday, 1/22/15, on RFD TV @4:00 P.M.- 4:30 P.M. EST; and Friday, 1/23, early morning, @ 2:30 A.M. - 3:00 A.M. EST on RFD TV. The show's title is "Hi-Rail Layouts--1B."
RFD TV is on ATT U-verse channels 568 and 1568 (HD); DirecTV channel 345; Dish channel 231; and, Verizon channel 247.
If your provider isn't listed above and shows "I Love Toy Trains," respond in this thread with the provider's name and channel number, and your information will be added to the RFD TV channel listing here.
EDIT: A member who is also an Amzon Prime member reported that he is able to stream the program. I have no idea how that works; but, it may be of use to forum members who don't have access on their systems to the program.